In one design being considered for the containers shaped like a rectangular prism, each container will have a height of 11 1/2 inches and length of 7 1/2 inches. what will be the width, in inches, of the container? the volume needs to be 258 3/4 explain how as well

The width of the container has to be 3 inches

A rectangular prism is a 3-dimensional shape.

A rectangular prism has 6 faces that are rectangles

A rectangular prism is also known as a cuboid

Volume of a rectangular prism = width x height x length

258 3/4 =  11 1/2 x 7 1/2 x width

to solve this question, the first step is to convert the mixed fractions to an improper fraction

to convert to improper fraction, take the following steps :  

1.Multiply the whole number  by the denominator

2.Add the numerator to the answer gotten in the previous step

3.divide the number gotten in the previous step by the denominator

Multiply both sides of the equation by 4/345

width = = 3 inches

Learn more about rectangular prisms here : link

3 inches

Step-by-step explanation:

The volume of a rectangular prism is the product of length, width, and height. Fill in the information you have in the formula, and solve.

... V = LWH

... 258 3/4 = (7 1/2)×W×(11 1/2)

... W = (258 3/4)/((7 1/2)(11 1/2))

This computation can be done using fractions, but it is probably more easily done using decimal numbers. Of course, you know that 3/4 = 0.75 and 1/2 = 0.5. Then ...

... W = 258.75/(7.5×11.5) = 3

The width is 3 inches.

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step-by-step explanation: